'''
Sieves?
'''
import euler
N = 10**6
totient = euler.phisieve(N+1)
def smartTotient(N):
return sum([ totient[n] for n in range(1,N+1) ])-1
print smartTotient(N)
'''
Sieves?
'''
import euler
N = 10**6
totient = euler.phisieve(N + 1)
def smartTotient(N):
return sum([totient[n] for n in range(1, N + 1)]) - 1
print smartTotient(N)
import euler
print 'init'
N = 10**7#2*10**7
phi = euler.phisieve(N)
print 'init.'
def relevant(i):
a = euler.intToSeq(i)
a.sort()
b = euler.intToSeq(phi[i])
b.sort()
return a==b
vbest = None
nbest = None
for n in xrange(2,N):
if relevant(n):
v = n/float(phi[n])
if vbest == None or v < vbest:
vbest = v
nbest = n
print vbest,nbest,phi[n]
print 'soln',nbest